MCQ
The probability that a number selected at random from the numbers $1, 2, 3, ....., 15$ is a multiple of $4,$ is:
- A$\frac{4}{15}$
- B$\frac{2}{15}$
- ✓$\frac{1}{5}$
- D$\frac{1}{3}$
✓
Answer
Correct option: C.
$\frac{1}{5}$
The total number of given numbers is $15.$
$\therefore$ Total number of outcomes $= 15$
Among the given numbers, the multiples of $4$ are $4, 8$ and $12.$
So, the favourable number of outcomes are $3.$
$\therefore P($number selected is a multiple of $4)$
$=\frac{\text{Favourable number of outcomes}}{\text{Total number of outcomes}}$
$=\frac{3}{15}$
$=\frac{1}{5}$
Hence, the correct answer is option $c.$
$\therefore$ Total number of outcomes $= 15$
Among the given numbers, the multiples of $4$ are $4, 8$ and $12.$
So, the favourable number of outcomes are $3.$
$\therefore P($number selected is a multiple of $4)$
$=\frac{\text{Favourable number of outcomes}}{\text{Total number of outcomes}}$
$=\frac{3}{15}$
$=\frac{1}{5}$
Hence, the correct answer is option $c.$
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